K12MATH009: Algebra I

Unit 4: DataSuppose you belong to a gym that has posters displayed to help members
focus on reaching their peak heart rate during workouts. Age is given in
years, and peak heart rate is in beats per minute (BPM). This would make
it very easy to determine what your peak heart rate should be if your
age is listed. However, if your age is not listed, a data display or a
line of best fit would be beneficial in determining this information.

This unit addresses data displays and fitting lines to data.

Unit 4 Time Advisory
Completing this unit should take you approximately 3.25 hours.

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Subunit 4.1: 1.25 hours

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Subunit 4.2: 1 hour

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Subunit 4.3: 1 hour

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Subunit 4.3.1: 15 minutes

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Subunit 4.3.2: 45 minutes

Unit4 Learning Outcomes
Upon successful completion of this unit, you will be able to:
- distinguish between correlation and causation.
- compute using technology the correlation coefficient.
- fit a function to data.

4.1 Scatter Plots and CorrelationData is all around us. We see it on the television and in the papers.
It is used in a variety of situations. One way to display data is
through a scatter plot. In subunit 4.1, you will learn what a scatter
plot is and what the possible relationships are among the given data.

Instructions: Please click on the link above and then click on tab
8 and read the article and view the examples. Toward the end of this
site, there is an icon that says “Quiz Group.” Click on that and a
self-quiz will pop up on the screen. When complete, there is a
“Check Answers” button and the quiz will be scored. The correct
answers will be given and you can also hit the “Retry” button to
take the quiz again.

Instructions: Read the Background, Instructional Objectives, and
complete exercise number 7 in the Regression Equations section,
making sure to pay attention to table above it (Table 3: STS-125
Atlantis Ascent data (total mass) ) and the description of the
problem.

Reading these sections and completing exercise 7 should take
approximately 30 minutes.

Terms of Use: Please respect the copyright and terms of use
displayed on the webpage above.

4.2 Line of Best FitSince a scatter plot is not exactly linear, a line of best fit has to
be drawn. What line would best model the data? Depending upon the data,
sometimes the line is a good fit and sometimes it is a bad fit. In
subunit 4.2, you will use the graphing utility to determine the line of
best fit.

Explanation: Sophia’s “Line of Best Fit” and College of the
Redwoods’ “Line of Best Fit”
Link: Sophia’s “Line of Best
Fit” (Flash)
and College of the Redwoods’ “Linear
Functions” (PDF)

Instructions: Watch the “Line of Best Fit” Tutorial and Read
Section 3.5 of College of the Redwoods’ Algebra Text (p. 313-319),
and choose one of the exercises on page 321-325 to solve manually,
and using your calculator. Check your answer on pg. 326-7.

Watching the tutorial should take approximately 5 minutes. Reading
the section should take approximately 40 minutes. Working through
the exercise and checking your answer should take approximately 15
minutes.

Terms of Use: Please respect the copyright and terms of use
displayed on the webpage above.

4.3 ResidualsAt the fair, you can always find the game where a person guesses your
weight. Usually the guess is not accurate. How far off the actual weight
is from the prediction is part of the residual concept. In this unit,
you will explore the concept of residuals.

Instructions: Please click on the link above watch the video,
pausing to take notes.

Watching this video and pausing to take notes should take
approximately 15 minutes.

Standards Addressed (Common Core):

- [CCSS.Math.Content.HSS-ID.B.6b](http://www.corestandards.org/Math/Content/HSS/ID/B/6/b)
- [CCSS.Math.Content.HSS-ID.C.9](http://www.corestandards.org/Math/Content/HSS/ID/C/9)
Terms of Use: Please respect the copyright and terms of use
displayed on the webpage above.

Instructions: Watch “Residuals” and take notes. Read carefully
through the activity and try one of the exercises on your own.

Watching the tutorial and taking notes should take approximately 25
minutes. Reading through the activity and trying the exercise should
take approximately 20 minutes.

Standards Addressed (Common Core):

- [CCSS.Math.Content.HSS-ID.B.6b](http://www.corestandards.org/Math/Content/HSS/ID/B/6/b)
- [CCSS.Math.Content.HSS-ID.C.9](http://www.corestandards.org/Math/Content/HSS/ID/C/9)
Terms of Use: Please respect the copyright and terms of use
displayed on the webpage above.